So I am no longer allowed to ask questions, presumably because of my first two. However, I have been actively participating in the community since then, and have acquired 741 reputation. I am confused as to why 741 reputation is not enough to balance two legitimate but poorly presented questions. Can someone inform me what I should do to be able to ask questions again?
You should have received a message directing you to the page Why are questions no longer being accepted from my account?. According to it, the way to get out of question ban is to edit the posts that got you there. If some of those are now deleted, bring them into shape before undeleting. When the system sees that the negative voting trend on those posts it being reversed, it will unblock you. The process is automatic, and does not involve the moderators of the site.